Each simulation is 420 observations of 4 varaibles (3 clusters, with 140 observations each). This document focus on 4 simulation models, namely, EEE EEV, VVV_banana, VVV_boomerang. These models have the simulation factor specified in the title and is accompanied by 2 other documents which vary the simulation factor.
| Simulation factor | EEE family | EEV family | VVV_banana family | VVV_boomerang family |
|---|---|---|---|---|
| no contamination | EEE | EEV | VVV_banana | VVV_boomerang |
| noise dimensions correlated | EEE_noiseCor | EEV_noiseCor | VVV_banana_noiseCor | VVV_boomerang_noiseCor |
| rotated (signal in all variables | EEE_rot | EEV_rot | VVV_banana_rot | VVV_boomerang_rot |
The starting basis initialized to PC1:2 of each model. Radial tours created for the top 3 variables.
Let’s check if our component variance-covariance matrices are non-singular and postive semi-definate.
## [1] "cov: cov_circ"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_circ_noise_cor"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos_noise_cor"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg_noise_cor"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
Scrucca, Luca, Michael Fop, T. Brendan Murphy, and Adrian E. Raftery. “Mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models.” The R Journal 8, no. 1 (August 2016): 289-317.